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Can any1 suggest me any links/pdfs/books to study the following topics?? 1.)Operators 2.)Multivariable functions and calculus and partial derivatives 3.)ODE(2nd order) 4.)vector valued functions +if u know anything else I can learn straight after school I was trying a pdf for a college course but it skips most of the stuff.It feels like if you've done school but u still can't understand it, like some of the course is missing in between so I'm having a lot of trouble with it Thanks
there's a lot in your bucket list but amongst the best resources IMHO are: MIT OCW because they post videos, homework, solutions, the whole shebang; and recitation is especially useful. really love this guy: https://www.youtube.com/watch?v=2B7e19xi4Sw for just doing stuff try PatrickJMT on Youtube for loads of worked examples, or I really like (ie prefer) Dr Chris Tisdell, again YouTube. he will show you how to solve PDE's using Laplace Transforms!!! awesome stuff. both have massive playlists. Paul's online maths notes is just that, his lecture notes online, but has loads of examples. can be very formulaic (ie not terribly intuitive) at times, but is a totally awesome free resource. googling and looking through that alone could keep you busy for days.
http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/3.-double-integrals-and-line-integrals-in-the-plane/part-c-greens-theorem/session-70-normal-form-of-greens-theorem/ this is same dude but on the mit site
There's so much I just can't understand where to start, and If I try something, there's always something I don't know and this way I keep jumping around like rabbit, running into circles
that is the nature of it. it is hard to find the discipline but you have to pick a subject and nail it. why not flick through Paul's online calc 1 & 2 and see that you get it all, then just start at the beginning and work through calc 3. http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx i imagine you will know a lot already but use the vids as extra material.
thanks ill give it a try